Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex.
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Question

Quizplus · Accepted Answer

The vertex form of a quadratic function is f(x) = a(x - h)2 + k, where (h, k) is the vertex. Looking at the graph, we can see that the vertex is at (-2, 3). We can then write the function as:
f(x) = a(x + 2)2 + 3
Now we need to find the value of a. We can use one of the other points on the graph to solve for a. Let's use the point (0, 7):
7 = a(0 + 2)2 + 3
7 = 4a + 3
4a = 4
a = 1
Therefore, the function is:
f(x) = (x + 2)2 + 3
And the vertex is at (-2, 3). 
The correct choice based on this explanation is A.

Express the Function in the Form F(x) = A(x -